the answer is 16 because .80 times 20 is 16
Answer:
The turns of a graph is represented by the number of maximum or minimum that the function has.
If we differenciate f(x) we get:
f'(x)=4x^3+6x
f'(x)=2x(2x^2 + 3)
Therefore f'(x) =0, when x=0. Given that negative roots are not defined.
Therefore, the number of turns will be given by the number of solutions of f'(x) which is 1.
Attached you find the graph of the function which confirms the number of turns.
If the function had other solutions, the maximum number of turns it could have is 3! because f'(x) is a third degree polynomial, therefore it can't have more than 3 solutions!
Answer:
156 buttons in each container
Step-by-step explanation:

Answer:
slope (m) = 0.75
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
1
3
= 0.33333333333333
θ =
arctan( ΔY ) + 180°
ΔX
= 198.43494882292°
ΔX = -4 – 2 = -6
ΔY = 3 – 5 = -2
Distance (d) = √ΔX2 + ΔY2 = √40 = 6.3245553203368
Equation of the line:
y = 0.33333333333333x + 4.3333333333333
or
y =
1 x
3
+ 13
3
When x=0, y = 4.3333333333333
When y=0, x = -13
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